Approximation of the height process of a continuous state branching process with interaction
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Publication:5003654
DOI10.1090/tpms/1133zbMath1478.60232arXiv1706.06892OpenAlexW3170491194MaRDI QIDQ5003654
Ibrahima Dramé, Etienne Pardoux
Publication date: 22 July 2021
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.06892
Lévy processesscaling limitlocal timeGalton-Watson processesheight processcontinuous-state branching processes
Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)
Cites Work
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- Stochastic equations, flows and measure-valued processes
- Point processes and queues. Martingale dynamics
- On the convergence of sequences of branching processes
- Branching processes in Lévy processes: The exploration process
- Ray-Knight representation of flows of branching processes with competition by pruning of Lévy trees
- ``Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth
- Approximation of a generalized continuous-state branching process with interaction
- Stochastic equations of non-negative processes with jumps
- A continuous-state polynomial branching process
- A general continuous-state nonlinear branching process
- Stochastic differential equations, backward SDEs, partial differential equations
- Scaling limits of population and evolution processes in random environment
- Measure-Valued Branching Markov Processes
- Probability and Stochastics
- Weak convergence of sequences of semimartingales with applications to multitype branching processes
- Asymptotic behaviour of continuous time, continuous state-space branching processes
- Non-binary branching process and non-Markovian exploration process
- The Limit of a Sequence of Branching Processes
- Stochastic branching processes with continuous state space
- Continuous state branching processes